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Simplifying 15m + -41 = 4(2m + -5) Reorder the terms: -41 + 15m = 4(2m + -5) Reorder the terms: -41 + 15m = 4(-5 + 2m) -41 + 15m = (-5 * 4 + 2m * 4) -41 + 15m = (-20 + 8m) Solving -41 + 15m = -20 + 8m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-8m' to each side of the equation. -41 + 15m + -8m = -20 + 8m + -8m Combine like terms: 15m + -8m = 7m -41 + 7m = -20 + 8m + -8m Combine like terms: 8m + -8m = 0 -41 + 7m = -20 + 0 -41 + 7m = -20 Add '41' to each side of the equation. -41 + 41 + 7m = -20 + 41 Combine like terms: -41 + 41 = 0 0 + 7m = -20 + 41 7m = -20 + 41 Combine like terms: -20 + 41 = 21 7m = 21 Divide each side by '7'. m = 3 Simplifying m = 3
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